On the Stability of a Multiplicative Functional Equation
✍ Scribed by Soon-Mo Jung
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 104 KB
- Volume
- 254
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, we will introduce a new multiplicative functional Eq. 1 and prove Ž . that the given equation is equivalent to the well known ''original'' one, f xy s Ž . Ž . Ž . f x f y . Moreover, we will investigate the stability problem of Eq. 1 in the sense of R. Ger.
📜 SIMILAR VOLUMES
The paper is devoted to some results on the problem of S. M. Ulam for the stability of functional equations in Banach spaces. The problem was posed by Ulam 60 years ago.
A system of functional differential equations with delay dz/dt = Z t z t , where Z is the vector-valued functional is considered. It is supposed that this system has a zero solution z = 0. Definitions of its partial stability, partial asymptotical stability, and partial equiasymptotical stability ar
In this paper we solve the Jensen type functional equation 1.1 . Likewise, we investigate the Hyers᎐Ulam᎐Rassias stability of this equation.
We prove the stability of the Wigner equation f x f y s x y with its < <² Ž .< Ž .:< <² < :< < Ž . approximate solutions defined by the inequality f x f y y x y F x, y which holds on a restricted domain and for a given, suitable function .